MeThis is a classic Face-to-Face class and we meet entirely in person. There will be no online discussions and if you have a question you can ask in class or email me at:

I will post handouts and hyperlinks to videos for the class on this web page which is accessible at the hosting URL
http://islandman.org/um/math103/.

So lets get started…

This is a fast paced mathematics course in an 8 week session.

I recommend you allocate approximately 20 hours per week to this course:

If you have a day job, I recommend that you enroll only in this course this session, because there will be a lot of homework. Unfortunately, UMUC is not enforcing the prerequisite for this course which is MATH012 and unprepared students may feel uncomfortable in this course. I give you this warning notification so you can properly allocate time for the course. The course has a common final exam for all UMUC sections worldwide. Therefore, I must remain on schedule to cover all topics.

ebook UMUC has moved to free online resources to support all courses and Will Tenney a UMUC faculty member has written a 433 page eBook titled Math for Today’s World. The eBook contains examples and exercises for each section that we will use for the course. Answers to all odd numbered exercises are in the appendix at the end of the book. You are required to do the specified exercises at the end of each section, which will be odd numbered problems so you can check your answers. I have split this ebook in to multiple PDF files so you can simply download two chapters at a time and included bookmarks to aid in navigation for each chapter, sections, exercises and answers.

Please acquire the following items before the first class:

I recommend that you get started with Week 1 content today, by clicking Week 1 in the navigation bar above or scrolling down.

Robert Laurie

Week 1: Number Theory and the Real Number System

Order of Operations

This week we will be covering the Real Number System which is covered in Chapter 1 of the Math103 Book:

The most important item to understand is the order of operation, which is described the acronym P E MD AS.

It is very important to do all assigned exercises in your homework notebook. Use enough paper to show the complete step-by-step process for each exercise. This is really for your benefit, so that you can track and learn from your mistakes. Chapter 1 is very important so that you have a firm foundation to build upon for the rest of the course. For the first week I have created a Chapter 1 Exercise Solutions handout, which provides more detail then the answer key in the appendix.

Please download and print the following before class:

The focus for the first four weeks of the course is Algebra and links to informative YouTube videos for the Algebra content are displayed below:

  1. Algebra 1 2.01a - The Commutative Property 3m
  2. Algebra 1 2.01b - The Associative Property 9m
  3. Algebra 1 2.03a - Addition of Real Numbers 6m
  4. Algebra 1 2.03b - Adding Numbers with Different Signs 6m
  5. Algebra 1 2.04a - Subtraction 3m
  6. Algebra 1 2.04b - Distributing a Negative Sign 9m
  7. Algebra 1 2.05a - The Distributive Property, Part 1 10m
  8. Algebra 1 2.05b The Distributive Property, Part 2 11m
  9. Algebra 1 2.06a - Properties of Multiplication 11m

Read and reflect on the topic of Math Anxiety which is described on the web page: math.about.com/od/reference/a/anxiety.htm

Week 2: Algebra and Problem Solving

Fractions, Ratios, Area

This week we will be covering Algebra and Problem Solving which is covered in Chapter 2 and 3 of the Math103 Book:

Chapter 2: Algebraic Expressions and Linear Equations

Chapter 3: Problem Solving

Please download and print the following before class:

  1. Mathematics and sex | Clio Cresswell | TEDxSydney 13m
  2. Algebra 1 6.1a - Simplifying - What You Can and Cannot Cancel 5m
  3. Algebra Review 1.1 - Simplifying Expressions 3m
  4. Algebra Review 1.2 - Simplifying Expressions 2m
  5. Algebra Review 1.3 - Simplifying Expressions 6m
  6. Algebra Review 2.2 - Solving Equations 4m
  7. Algebra Review 2.3 - Solving Equations 4m
  8. Algebra Review 2.4 - Solving Equations 3m
  9. Algebra Review 9.1 - Fractional Equations 4m
  10. Algebra Review 9.2 - Fractional Equations 3m
  11. Algebra Review 9.3 - Fractional Equations 5m
  12. Algebra Review 9.4 - Fractional Equations 2m
  13. Prealgebra 7.1b - Changing Percents into Fractions 5m
  14. Prealgebra 7.1c - Converting Percents and Decimals 5m
  15. Prealgebra 7.1d - Changing a Fraction into a Percent 6m
  16. Prealgebra 7.2a - Solving Percent Exercises - An Introduction 9m
  17. Prealgebra 7.2b - How to Solve a Percent Exercise 9m
  18. Prealgebra 7.3a - Solving Percent Applications 6m
  19. Prealgebra 7.3b - Examples of Percentages in Calculations 6m
  20. Prealgebra 7.3c - Real World Percentage Examples 7m

Test 1 is scheduled for week 3 first class and will cover content from or eBook Chapters 1, 2, and 3. Test 1 is closed book, but you are permitted to bring in one half page of single sided handwritten notes that is 8.5 inches x 5.5 inches. I suggest you simply take a standard letter size paper and fold it in half. You can add to these notes in Test 2 and 3. You need to bring pencil, eraser, and calculator to Test 1. You may download and view Sample Test 1 available here with answers attached.

Week 3: Polynomials, Factoring, and Quadratic Equations

Quadratic equations

This week we will begin with Test 1 , which will cover content from eBook Chapters 1, 2, and 3. Test 1 is closed book, but you are permitted to bring in one page of handwritten notes on one side of an 8.5 inches x 5.5 inches area. You can add to these notes for test 2. You can download and view Sample Test 1 available here with answers attached. I highly recommend that you attempt to do the Sample Test 1 and target completion within the 1 hour time frame of the actual test 1.

You need to bring your own pencils, eraser, and calculator to Test 1 as they will not be provided.

After Test 1, we will continue with eBook Chapter 4 covering the topics of Polynomials, Factoring, and Quadratic Equations:

A quadratic equation is a polynomial equation of second degree, having the general form:

Quadratic Equation Std Form

The letters a, b and c are called coefficients: a is the coefficient of x2, b is the coefficient of x, and c is the constant coefficient. A quadratic equation has two solutions (i.e., solutions for the unknown term x). In some cases, these solutions can have the same value. The values of the solutions can be computed using the quadratic formula as shown below:

Quadratic Formula

For example, the solutions of the quadratic equation

Quadratic Equation Example

can be determined by first substituting 2 for a, -14 for b, and 20 for c in the quadratic forumula

Quadratic Formula Values

and then solving the expression, which gives the solutions of the equation as x = 5 and x = 2.

Please download and print the following before class:

  1. Prealgebra 10.1a - Introduction to Polynomials 6m
  2. Prealgebra 10.1b - Evaluating Polynomials 6m
  3. Prealgebra 10.2a - Adding and Subtracting Polynomials 9m
  4. Prealgebra 10.2b - Adding and Subtracting Polynomials 8m
  5. Prealgebra 10.3a - Multiplying Exponents 9m
  6. Prealgebra 10.3b - Raising an Exponent to a Power 6m
  7. Prealgebra 10.3c - Raising a Product to a Power 6m
  8. Prealgebra 10.4a - Multiplying Monomials 8m
  9. Prealgebra 10.4b - Multiplying a Monomial and a Polynomial 7m
  10. Prealgebra 10.4c - Multiplying Binomials 6m
  11. Prealgebra 10.4d - Multiplying Binomials FOIL Method 5m
  12. Prealgebra 10.4e - Multiplying Binomials 6m
  13. Prealgebra 10.5a - Factoring Polynomials 8m
  14. Prealgebra 10.5b - Factoring Polynomials 7m
  15. Prealgebra 10.5c - Factoring Polynomials 11m
  16. Algebra Review 4.1 - Factoring 5m
  17. Algebra Review 4.2 - Factoring 6m

The ac-Method is a very systematic factoring method that allows you to factor trinomial mathematical expressions. Once you understand how to use the ac-method you can usually find the factors much quicker than FOIL. I found several videos on youtube.com covering the ac-Method. Try working out the exercises illustrated in these videos to understand the step-by-step factoring process. Then try it on homework exercises.

Week 4: Graphing, Functions, and 2-Variable Equations

Linear functions

This week we will cover eBook Chapter 5 topics:

GeoGebra Classic 5 is a freeware graphing program that can be downloaded and installed from www.geogebra.org. It is helpful to to be able to graph various mathematical functions using graphing software and to check your homework solutions.

Please download and print the following before class:

  1. Prealgebra 9.3a - The Rectangular Coordinate System 9m
  2. Prealgebra 9.3b - Coordinates in Two Dimensions 9m
  3. Prealgebra 9.3c - Plotting Points in Two Dimensions 8m
  4. Prealgebra 9.4a - Equations with Two Variables 10m
  5. Prealgebra 9.4b - Ordered Pair Solutions to Equations 5m
  6. Prealgebra 9.4c - Graphing Linear Equations, Part 1 10m
  7. Prealgebra 9.4d - Graphing Linear Equations, Part 2 9m
  8. Prealgebra 9.4e - Horizontal and Vertical Lines 6m
  9. Algebra 2 2.01a - What is a Function 8m
  10. Algebra 2 2.01b - The Coordinate Plane 6m
  11. Algebra 2 2.01c - Graphing Functions and the Vertical Line Test 10m
  12. Algebra 2 2.01d - Function Notation 5m
  13. Graphing Quadratic Functions 8m
  14. Graphing Exponential Functions 15m
  15. Graphing Logarithm Functions 6m

Test 2 is scheduled for next class, and will cover content from eBook Chapters 4 and 5. Test 2 is closed book, but you are permitted to bring in one page of single sided handwritten notes that is 8.5 inches x 11 inches. You need to bring pencil, eraser, and calculator to Test 2. You may download and view Sample Test 2 from an earlier session.

Week 5: Financial Mathematics

Financial Mathematics

Test 2 is scheduled for the first class, and will cover content from eBook Chapters 4 and 5. Test 2 is closed book, but you are permitted to bring in one page of single sided handwritten notes that is 8.5 inches x 11 inches. You need to bring pencil, eraser, and calculator to Test 2. You may download and view Sample Test 2 from an earlier session.

Financial Mathematics will be the topic this week and after Test 2 we will begin to discuss eBook Chapter 6 covering the following financial mathematics topics:

Please download and print the following before class:

  1. Simple versus Compound Interest 2m
  2. Simple and Compound Interest 15m
  3. Compound Interest (Future Value) 15m
  4. Present Value Questions for Compound Interest 13m
  5. What Is An Annuity 5m
  6. Explaining Mortgage 3m
  7. Comparing the cost of new and used cars 7m

Week 6: Probability Theory

Probability

Probability Theory will be covered this week, with applications to situation analysis, risk tolerance, and gambling. We will be covering the following topics described in eBook Chapter 7 section numbers:

Please download and print the following before class this week:

Roll Two Dice program:

Test 3 is scheduled for the next class, and will cover content eBook Chapters 6 and 7. Test 3 is closed book, but you are permitted to bring in the Formula Sheet. You need to bring pencils, eraser, and calculator to Test 3. You may download Sample Test 3 which I used in an earlier session.

Week 7: Statistics

Stem

Test 3 will be at the beginning of first class, so do not be late. It will cover content from eBook Chapters 6 and 7. Test 3 is closed book, but you are permitted to bring in the Formula Sheet. You need to bring pencils, eraser, and calculator to Test 3. You may download Sample Test 3 which I used in an earlier session.

Statistics will be the topic this week after Test 3. The Statistics content is in eBook Chapter 8.

Please download and print the following before class:

Your calculator may have a Statistics (STAT) mode that would do the standard deviation calculation after all data values are entered with frequencies. Please consult your Calculator User Manual below:

Week 8: Final Exam Time

Success

The Final Exam is the last class of the term. The Final Exam is comprehensive and any material covered in this eight week course may be on the Final Exam. The Final Exam is closed book, but you are permitted to bring in pencils, eraser, calculator, Formula Sheet and z-Score Tables. An example Final Exam and Answers can be downloaded and viewed here.

Please bring your notebook contining homework, which I will examine for borderline grade cases. Please bring your Tests 1, 2, and 3 to me during the final exam time. I re-examine these tests when determining final grades if you are within a few points of the next grade in the course.

I hope you feel are more comfortable with mathematics after taking this course and you will find it a useful skill when you apply it in life situations. It is your best critical thinking skill to help you make financial decisions. Mathematics is the basis of technology development and understanding physical sciences. If you would like to progress in mathematics, please take the placement test and request MATH107 College Algebra. MATH107 is transferable to all universities and colleges.